Atkin-Lehner |
3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025b |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-102843675 = -1 · 39 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 11+ 3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-135,776] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-14:1] |
Generators of the group modulo torsion |
j |
-552960/209 |
j-invariant |
L |
2.6359844290984 |
L(r)(E,1)/r! |
Ω |
1.7747829888896 |
Real period |
R |
0.74262161786687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025f1 47025i1 |
Quadratic twists by: -3 5 |